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Finding the Fourth Proportional to 579.81, 794.13 and 546.15

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Solution

The fourth proportional to 579.81, 794.13 and 546.15 is: 748.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.81 : 794.13 = 546.15 : x
  2. Step 2: Convert to fraction form
    579.81/794.13 = 546.15/x
  3. Step 3: Cross multiply
    579.81x = 794.13 × 546.15
  4. Step 4: Simplify right side
    579.81x = 433,714.10
  5. Step 5: Solve for x
    x = 433,714.10/579.81
  6. Step 6: Final answer
    x = 748.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.